65129985 has 12 divisors (see below), whose sum is σ = 112892052. Its totient is φ = 34735968.

The previous prime is 65129983. The next prime is 65129989. The reversal of 65129985 is 58992156.

It can be written as a sum of positive squares in 2 ways, for example, as 14107536 + 51022449 = 3756^2 + 7143^2 .

It is not a de Polignac number, because 65129985 - 2¹ = 65129983 is a prime.

It is a super-5 number, since 5×65129985⁵ (a number of 40 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1447333 = 65129985 / (6 + 5 + 1 + 2 + 9 + 9 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 65129985.

It is not an unprimeable number, because it can be changed into a prime (65129983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 723622 + ... + 723711.

It is an arithmetic number, because the mean of its divisors is an integer number (9407671).

Almost surely, 2^65129985 is an apocalyptic number.

It is an amenable number.

65129985 is a deficient number, since it is larger than the sum of its proper divisors (47762067).

65129985 is a wasteful number, since it uses less digits than its factorization.

65129985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447344 (or 1447341 counting only the distinct ones).

The product of its digits is 194400, while the sum is 45.

The square root of 65129985 is about 8070.3150496124. The cubic root of 65129985 is about 402.3404148547.

The spelling of 65129985 in words is "sixty-five million, one hundred twenty-nine thousand, nine hundred eighty-five".